I prefer to call strong atheism as anti-theism in order to not conflate it with what you call weak atheism.

I think the difference betweem an absence of belief in a god and the belief in the absence of a god is large enough to warrant separate terms.

Edit: ok apparently the vocabulary of weak and strong atheism is the established one. Still, it leaves an ambiguity into the central word of 'atheism' that I don't like.